diff --git a/Objects/bufferobject.c b/Objects/bufferobject.c
index 3a0e3d5..ddef868 100644
--- a/Objects/bufferobject.c
+++ b/Objects/bufferobject.c
@@ -252,23 +252,65 @@
 }
 
 static int
-buffer_compare(PyBufferObject *self, PyBufferObject *other)
+get_bufx(PyObject *obj, void **ptr, Py_ssize_t *size)
+{
+	PyBufferProcs *bp;
+
+	if (PyBuffer_Check(obj)) {
+		if (!get_buf((PyBufferObject *)obj, ptr, size, ANY_BUFFER)) {
+			PyErr_Clear();
+			return 0;
+		}
+		else
+			return 1;
+	}
+	bp = obj->ob_type->tp_as_buffer;
+	if (bp == NULL ||
+	    bp->bf_getreadbuffer == NULL ||
+	    bp->bf_getsegcount == NULL)
+		return 0;
+	if ((*bp->bf_getsegcount)(obj, NULL) != 1)
+		return 0;
+	*size = (*bp->bf_getreadbuffer)(obj, 0, ptr);
+	if (*size < 0) {
+		PyErr_Clear();
+		return 0;
+	}
+	return 1;
+}
+
+static PyObject *
+buffer_richcompare(PyObject *self, PyObject *other, int op)
 {
 	void *p1, *p2;
-	Py_ssize_t len_self, len_other, min_len;
-	int cmp;
+	Py_ssize_t len1, len2, min_len;
+	int cmp, ok;
 
-	if (!get_buf(self, &p1, &len_self, ANY_BUFFER))
-		return -1;
-	if (!get_buf(other, &p2, &len_other, ANY_BUFFER))
-		return -1;
-	min_len = (len_self < len_other) ? len_self : len_other;
-	if (min_len > 0) {
-		cmp = memcmp(p1, p2, min_len);
-		if (cmp != 0)
-			return cmp < 0 ? -1 : 1;
+	ok = 1;
+	if (!get_bufx(self, &p1, &len1))
+		ok = 0;
+	if (!get_bufx(other, &p2, &len2))
+		ok = 0;
+	if (!ok) {
+		/* If we can't get the buffers,
+		   == and != are still defined
+		   (and the objects are unequal) */
+		PyObject *result;
+		if (op == Py_EQ)
+			result = Py_False;
+		else if (op == Py_NE)
+			result = Py_True;
+		else
+			result = Py_NotImplemented;
+		Py_INCREF(result);
+		return result;
 	}
-	return (len_self < len_other) ? -1 : (len_self > len_other) ? 1 : 0;
+	min_len = (len1 < len2) ? len1 : len2;
+	cmp = memcmp(p1, p2, min_len);
+	if (cmp == 0)
+		cmp = (len1 < len2) ? -1 :
+		      (len1 > len2) ? 1 : 0;
+	return Py_CmpToRich(op, cmp);
 }
 
 static PyObject *
@@ -667,7 +709,7 @@
 	0,					/* tp_print */
 	0,					/* tp_getattr */
 	0,					/* tp_setattr */
-	(cmpfunc)buffer_compare,		/* tp_compare */
+	0,					/* tp_compare */
 	(reprfunc)buffer_repr,			/* tp_repr */
 	0,					/* tp_as_number */
 	&buffer_as_sequence,			/* tp_as_sequence */
@@ -682,7 +724,7 @@
 	buffer_doc,				/* tp_doc */
 	0,					/* tp_traverse */
 	0,					/* tp_clear */
-	0,					/* tp_richcompare */
+	buffer_richcompare,			/* tp_richcompare */
 	0,					/* tp_weaklistoffset */
 	0,					/* tp_iter */
 	0,					/* tp_iternext */